The conformable reduced differential transform method for solving Newell-Whitehead-Segel Equation with non-integer order
Abstract
In this study, we aim at solving analytically and approximately the conformable fractional Newell-Whitehead-Segel equation (CFNWSE) via conformable reduced differential transform method (CRDTM). Through utilizing the proposed procedure, CFNWSE is converted to an iterative expression which can be easily solved using the initial condition. Four numerical examples, which we already knew their exact solution using other numerical methods, were solved by CRDTM to examine the competence of this method in solving the CFNWSEs. It is observed that CRDTM gives solutions that coincide with the exact solutions, and it saves a lot of computational work in solving FNWSEs. Moreover, the CRDTM is an efficient and simple tool for dealing with the CFNWSEs.
Author(s)
maher hassan Jneid
Journal/Conference Information
Journal of Analysis and Applications,DOI: Vol. 18 (2020), No.1, pp.35-51, ISSN: 0972-5954, Volume: Vol. 18 (2020), Issue: No.1, , Pages Range: 35-51,